Torque and Rotational Motion

Which of the following is the correct unit for angular displacement?

A point on a rotating wheel travels an arc length of 6 meters along the circumference of a circle with a radius of 3 meters. What is the angular displacement of the point?

What is angular velocity?

A wheel rotates from an initial angular position of 2 radians to a final angular position of 10 radians in 4 seconds. What is its average angular velocity?

The angular position of a rotating object is given by $\theta(t) = 3t^2 - t + 2$, where $\theta$ is in radians and $t$ is in seconds. What is the angular velocity of the object as a function of time?

What is angular acceleration?

A spinning top's angular velocity changes from 5 rad/s to 15 rad/s in 5 seconds. What is its average angular acceleration?

The angular velocity of a rotating object is given by $\omega(t) = 2t^3 - t^2 + 5$, where $\omega$ is in rad/s and $t$ is in seconds. What is the angular acceleration of the object as a function of time?

Which of the following linear motion quantities is analogous to angular velocity?

A car with wheels of radius 0.5 meters is traveling at a linear speed of 10 m/s. What is the angular speed of the wheels?